How can I get import an .FBX point cache animation to Blender?
Blender's FBX toolset doesn't support point cache data.  So you'll have to separate out the mesh from the point cache.  Just export the object as an FBX, then save out your point cache in either the LightWave .mdd or the 3DS Max .pc2 format.  You can then apply the point cache back to the object in Blender by using the Mesh Cache modifier.

However, if you simply want to transfer the model and animation, you can try using Alembic, which from what I saw in your video, C4D can export and Blender can import.

Cheers!